What is the solution of the equation 8/9(x+1/2)=32/3 when solving for x ?(1 point)

Answer 1

To solve the equation 8/9(x+1/2) = 32/3 for x, we can start by multiplying both sides of the equation by 9/8 to eliminate the fraction on the left side:

(9/8)(8/9)(x+1/2) = (9/8)(32/3)

The (8/9) and (9/8) cancel out, leaving:

x + 1/2 = (32/3)(9/8)

Multiplying 32/3 by 9/8, we get:

x + 1/2 = 288/24

Reducing 288/24, we get:

x + 1/2 = 12/1

Now, to isolate x, we subtract 1/2 from both sides of the equation:

x = 12/1 - 1/2

To subtract these fractions, we need a common denominator of 2, so we can rewrite 12/1 as 24/2:

x = 24/2 - 1/2

Combining the fractions, we get:

x = 23/2

So, the solution to the equation is x = 23/2.